1. What is Wien's Displacement Law?

Wien's Displacement Law describes the relationship between the temperature of a black body and the wavelength at which it emits the most radiation. This is particularly relevant for designing glasses that filter specific wavelengths of light.

2. How Does the Calculator Work?

The calculator uses Wien's Displacement Law:

Where:

• \( \lambda_{max} \) — Peak wavelength in nanometers (nm)
• \( T \) — Absolute temperature in Kelvin (K)
• 2.89776829 × 10⁶ — Wien's displacement constant (nm·K)

Explanation: As temperature increases, the peak wavelength decreases, shifting toward the blue end of the spectrum.

3. Importance for Glasses

Details: Knowing the peak wavelength helps design glasses that block specific wavelengths, such as blue light from electronic devices or infrared radiation from heat sources.

4. Using the Calculator

Tips: Enter the temperature in Kelvin (must be greater than 0). Common values range from 2000K (warm light) to 6500K (daylight).

5. Frequently Asked Questions (FAQ)

Q1: What's a typical color temperature for computer screens?
A: Most screens emit around 6500K, which corresponds to a peak wavelength of about 446 nm (blue light).

Q2: How does this relate to blue light glasses?
A: Blue light glasses are designed to block wavelengths around 446 nm, which is the peak emission for typical screens.

Q3: What's the peak wavelength of sunlight?
A: The sun's surface temperature is about 5778K, giving a peak wavelength around 502 nm (green light).

Q4: Can this be used for infrared-blocking glasses?
A: Yes, for heat sources around 1000K, the peak wavelength is about 2898 nm (infrared).

Q5: Why is the constant 2.89776829 × 10⁶?
A: This is Wien's constant in nm·K, derived from fundamental physical constants and black body radiation theory.